Question

The set of ordered pairs below is a relation. {(0.5,2), (1.5,5), (4.0,12), (6.5,15)} Which relation has the same domain as the given relation?

{(1,5),(2,2),(-3,15),(-8,12)}
{(0.5,1),(1.5,4),(4.0,11),(6.5,14)}
{(2,1,1),(5,2.2),(12,3.3),(15,4.4)}
{(-1,6.5),(-3,1.5),(-6,4.0),(-10,0.5)}​

Answer 1

Given:

The set of ordered pairs is

{(0.5,2), (1.5,5), (4.0,12), (6.5,15)}

To find:

Which relation has the same domain as the given relation?

Solution:

We know that, domain is the set of input values or x-values.

For the given set {(0.5,2), (1.5,5), (4.0,12), (6.5,15)}, the domain is

Domain={0.5, 1.5, 4.0, 6.5}

Similarly,

For {(1,5),(2,2),(-3,15),(-8,12)},

Domain = {1, 2, -3,-8}

For {(0.5,1),(1.5,4),(4.0,11),(6.5,14)},

Domain={0.5, 1.5, 4.0, 6.5}

For {(2,1,1),(5,2.2),(12,3.3),(15,4.4)},

Domain = {2, 5, 12, 15}

For {(-1,6.5),(-3,1.5),(-6,4.0),(-10,0.5)}​,

Domain = {-1, -3, -6, -10}

So, the relation {(0.5,1),(1.5,4),(4.0,11),(6.5,14)} has the same domain as the given relation.

Therefore, the correct option is B.